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4-16. Consecutive Reactions with One Unknown Concentration The analysis of diffusion with consecutive reactions in Example 4.4-1 focused on the interior region and one of
4-16. Consecutive Reactions with One Unknown Concentration The analysis of diffusion with consecutive reactions in Example 4.4-1 focused on the interior region and one of the boundary layers. The objective is to complete the analysis by considering the other boundary layer (that at x=0 or =0 ). The starting point is the dimensionless formulation given by Eqs. (4.4-4) and (4.4-5), in which 1. Within this boundary layer 1 and 1. Thus, neither the coordinate nor the concentration variable is properly scaled here. If new variables are defined as X=m,=n determine the values of m and n that will correctly scale X and . (Hint: Based on the first approximation to in the interior region, namely =1/, how must m and n be related?) d2d2=1dd(0)=0=dd(1) 4-16. Consecutive Reactions with One Unknown Concentration The analysis of diffusion with consecutive reactions in Example 4.4-1 focused on the interior region and one of the boundary layers. The objective is to complete the analysis by considering the other boundary layer (that at x=0 or =0 ). The starting point is the dimensionless formulation given by Eqs. (4.4-4) and (4.4-5), in which 1. Within this boundary layer 1 and 1. Thus, neither the coordinate nor the concentration variable is properly scaled here. If new variables are defined as X=m,=n determine the values of m and n that will correctly scale X and . (Hint: Based on the first approximation to in the interior region, namely =1/, how must m and n be related?) d2d2=1dd(0)=0=dd(1)
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